What is the Least Common Multiple of 94661 and 94671?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 94661 and 94671 is 8961651531.
LCM(94661,94671) = 8961651531
Least Common Multiple of 94661 and 94671 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94661 and 94671, than apply into the LCM equation.
GCF(94661,94671) = 1
LCM(94661,94671) = ( 94661 × 94671) / 1
LCM(94661,94671) = 8961651531 / 1
LCM(94661,94671) = 8961651531
Least Common Multiple (LCM) of 94661 and 94671 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94661 and 94671. First we will calculate the prime factors of 94661 and 94671.
Prime Factorization of 94661
Prime factors of 94661 are 7, 13523. Prime factorization of 94661 in exponential form is:
94661 = 71 × 135231
Prime Factorization of 94671
Prime factors of 94671 are 3, 67, 157. Prime factorization of 94671 in exponential form is:
94671 = 32 × 671 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 94661 and 94671.
LCM(94661,94671) = 71 × 135231 × 32 × 671 × 1571
LCM(94661,94671) = 8961651531
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